Educated at the Royal Military Academy, Woolwich, Biddulph was commissioned into the Royal Artillery in 1843. He served in the Crimean War taking part in the Battles of Alma, Balaclava and Inkerman as well as the Siege of Sevastopol. He was appointed Deputy Adjutant-General of Artillery in India in 1868, Commander of the Rohilkhand district in 1875 and Commander of the Quetta field force in 1878 serving in that role during the Second Anglo-Afghan War. He was given command of the Rawalpindi district in India in 1880 and made President of the Ordnance Committee in 1887 until his retirement in 1890.