Question #175887

Subtract the following using 2’s Complement method and show all the steps

a.    (1234)10 – (7A)16

b.    (7656)8 – (91)10

c.    (1011010110)2 – (1010)2






1
Expert's answer
2021-03-29T09:02:46-0400

a)

(1234)10(7A)16=(1234)10(31254)10=(30020)10(1234)_{10} – (7A)_{16}\\=(1234)_{10} –(31254)_{10}\\ = –(30020)_{10}

b)


(7656)8(91)10=(4014)10(91)10=(3923)10(7656)_{8} – (91)_{10}\\=(4014)_{10} –(91)_{10}\\ = (3923)_{10}

c)


(1011010110)2(1010)2=(1011001100)2(1011010110)_{2} – (1010)_{2}\\=(1011001100)_{2}


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