Give the signed decimal value of D03 (12 bits, show work)

Expert Solution

-765

Explanation:
-------------
Hexadecimal     Binary
    0           0000
    1           0001
    2           0010
    3           0011
    4           0100
    5           0101
    6           0110
    7           0111
    8           1000
    9           1001
    A           1010
    B           1011
    C           1100
    D           1101
    E           1110
    F           1111
Use this table to convert from hexadecimal to binary
Converting D03 to binary
D => 1101
0 => 0000
3 => 0011
So, in binary D03 is 110100000011

Now converting D03 to decimal
since left most bit is 1, this number is negative number.
so, follow these steps below to convert this into a decimal value.
I. first flip all the bits. Flip all 0's to 1 and all 1's to 0.
   110100000011 is flipped to 001011111100
II. Add 1 to above result
001011111100 + 1 = 001011111101
III. Now convert this result to decimal value
Converting 1011111101 to decimal
1011111101
=> 1x2^9+0x2^8+1x2^7+1x2^6+1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0
=> 1x512+0x256+1x128+1x64+1x32+1x16+1x8+1x4+0x2+1x1
=> 512+0+128+64+32+16+8+4+0+1
=> 765
Answer: -765

venereology answered 2 years ago

1. Give the signed decimal value of A93 (12 bits, show work)

10. Convert 101 1010 (seven bits) into a signed decimal (show work) 15. Give the value...

10. Convert 101 1010 (seven bits) into a signed decimal (show work) 15. Give the value of 011 1101 and C=0 with ROL (seven bits, show work) 16. Give the signed decimal value of 93A (12 bits, show work) 18. Give the binary equivalent of the decimal number of 13.57 (assume fixed point, no more than 6 bits left and right of the decimal point)

Show decimal values below in two complement binary notation with 6 bits. a) 18 b) -12

What is the signed decimal equivalent of the following signed-magnitude binary value? 11101010.1001 What is the...

What is the signed decimal equivalent of the following signed-magnitude binary value? 11101010.1001 What is the binary equivalent (in two's complement binary representation) of the following signed decimal value? Represent the integer part of the binary value in 8 bits. -58.1875

1. Complete the following table using 8-bit representation ((show your work to get credit) Decimal Signed...

1. Complete the following table using 8-bit representation ((show your work to get credit) Decimal Signed Magnitude One’s Complement Two’s Complement 30 -47 0

Represent the decimal number -6 in binary using 4-bits: 3a) signed magnitude ____________________________ 3b) 1’s complement...

Represent the decimal number -6 in binary using 4-bits: 3a) signed magnitude ____________________________ 3b) 1’s complement _____________________________ 3c) 2’s complement _____________________________

Suppose 8 bits are used to store signed integers. The largest value that can be represented...

Suppose 8 bits are used to store signed integers. The largest value that can be represented is 0111 1111. What is the decimal value of that number? 127 128 177 178 2.Suppose a 6-bit storage unit is used to store unsigned integers. What is the binary representation of the decimal number 67? 01000011 1000011 010000 000011

Question

Give the signed decimal value of D03 (12 bits, show work)

Solutions

Expert Solution

Related Solutions