Page 14 - Math_Genius_1 2

ckbujh ?kVko (Binary Subtraction)
ckbujh ?kVko esa] fuEu eku dh ckbujh la[;k dks mPp eku dh ckbujh la[;k ls ?kVk;k tkrk gSA fuEu rkfydk vad
X ls vad Y osQ ?kVko dh O;k[;k djrh gSA ;fn Y] X ls cM+k gS] rks 1 dks vxys LFkku ls m/kj fy;k tkrk gSA tc
ckbujh vad 0 vxys lcls egRoiw.kZ vad ls 1 m/kj ysrk gS] rks ;g 10 gks tkrk gSA

X Y X – Y

0 0 0 – 0 = 0

0 – 1 = 1
0 1
(m/kj (borrow) 1, rkfd 10 – 1 = 1)

1 0 1 – 0 = 1

1 1 1 – 1 = 0

mnkgj.k osQ fy,] vkb, ge (1000) ls ckbujh uacj (111) ?kVk,¡A
2
2
1 1
0 (10) (10) (10) µµµ m/kj (Borrow)

1 0 0 0

µ 1 1 1
0 0 0 1

ckbujh xq.ku (Binary Multiplication)
ckbujh la[;kvksa dks n'keyo la[;kvksa dh rjg gh xq.kk fd;k tkrk gSA tc nks ckbujh la[;kvksa dks xq.kk fd;k tkrk

gS] rks nwljh la[;k osQ çR;sd vad vkSj nk,¡ ls ck,¡ Øe'k% igyh ckbujh la[;k osQ vadksa osQ xq.kuiQy dh x.kuk dh
tkrh gSA fiQj bls ckb± vksj LFkkukarfjr dj fn;k tkrk gS rkfd bldk lcls nkfguk vad nwljs uacj osQ vad osQ lkFk
iafDrc¼ gks tk, ftldk mi;ksx fd;k x;k FkkA bu lHkh vkaf'kd mRiknksa dk ;ksx ifj.kke nsrk gSA nks ckbujh la[;kvksa

dks xq.kk djus osQ fy, fuEufyf•r fu;eksa dk ikyu fd;k tkrk gSA

X Y X × Y

0 0 0 × 0 = 0

0 1 0 × 1 = 0

1 0 1 × 0 = 0

1 1 1 × 1 = 1

12 Play (Ver. 1.0)-VII