Answer to Question #175887 in Field Theory for Arslan Habib

Question

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

Answer 1

a)

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

b)

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

c)

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