# Combinational Circuits – Exercise – 4

151. An 8-bit register may provide storage for two’s-complement codes within which decimal range?

(a) +128 to –128
(b) –128 to +127
(c) +128 to –127
(d) +127 to –127

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152. Convert each of the decimal numbers to two’s-complement form and perform the addition in binary. +13&nbsp–10 add –7&nbspadd +15

(a) 0001  0100    0000  0101
(b) 0000  0110    0001  1001
(c) 0000  0110    0000  0101
(d) 1111  0110    1111  0101

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153. The two’s-complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

(a) –14 and –13, –27
(b) –113 and –114, 227
(c) –27 and –13, 40
(d) –11 and –16, –27

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154. Divide the following binary numbers.

(a) 0000  0010    0000  0010    1000  1111
(b) 0000  0010    0001  0010    0000  0100
(c) 0000  0011    0000  0010    0000  0100
(d) 0000  0010    0000  0010    0000  0100

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155. Determine the two’s-complement of each binary number.001100001111101

(a) 11001    11100    00010
(b) 00111    00010    00010
(c) 00110    00011    11101
(d) 11010    11101    00011

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