Question

What is the unsigned hexadecimal equivalent of the following unsigned octal value?

Do NOT include in your answer ANY insignificant zeros.

107655.643

What is the binary equivalent (in signed-magnitude binary representation) of the following signed decimal value? Represent the integer part of the binary value in 8 bits.

-116.6875

Answer 1

1. What is the unsigned hexadecimal equivalent of the following unsigned octal value?

Do NOT include in your answer ANY insignificant zeros.

107655.643

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Hex values
A - 1010
B - 1011
C - 1100
D - 1101
E - 1110
F - 1111
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107655.643

Write each oct using 3 bits

= 1 000 111 110 101 101.110 100 011

Now group them into 4 bits

1000 1111 1010 1101.1101 0001 1

Write equivalent hex value = 8FAD.D18

2. What is the binary equivalent (in signed-magnitude binary representation) of the following signed decimal value? Represent the integer part of the binary value in 8 bits.

-116.6875

116 in binary = 111 0100

.6875 in binary = .1011

116.6875 = 111 0100.1011

Put MSB of 1 for -ve value

-116.6875 = 1111 0100.1011

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